42648180 has 72 divisors (see below), whose sum is σ = 122385312. Its totient is φ = 11094336.

The previous prime is 42648169. The next prime is 42648181. The reversal of 42648180 is 8184624.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42648181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414009 + ... + 414111.

It is an arithmetic number, because the mean of its divisors is an integer number (1699796).

Almost surely, 2^42648180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42648180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61192656).

42648180 is an abundant number, since it is smaller than the sum of its proper divisors (79737132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42648180 is a wasteful number, since it uses less digits than its factorization.

42648180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 42648180 is about 6530.5574034687. The cubic root of 42648180 is about 349.3817111325.

The spelling of 42648180 in words is "forty-two million, six hundred forty-eight thousand, one hundred eighty".